Answer: simplified algebraic expression : x
Step-by-step explanation:
The given phrase : 100 % of x
We can write 100 as 1 because 100% means complete or entire part.
Also, replace 'of' by '×' (Multiply sign).
So, the given phrase will become
1 × x [Algebraic expression]
= x [Simplified]
hence, the simplified algebraic expression is 'x'.
PLs help asap will make brainlist I need to finish this
Answer:
B. 33
Step-by-step explanation:
45/30 = x/22
3/2 = x/22
2x = 3 * 22
x = 3 * 11
x = 33
Answer:
B. 33
Step-by-step explanation:
39 / 26 = 1.5
45 / 30 = 1.5
22 x 1.5 = 33
A box is filled with 9 red crayons, 2 blue crayons, and 5 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon. Write your answer as a fraction in simplest form.
Answer:
[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]
Step-by-step explanation:
Given
[tex]Red = 9[/tex]
[tex]Blue = 2[/tex]
[tex]Yellow = 5[/tex]
Required
Probability of Red or Blue
First, it should be noted that the event described in the question are mutually exclusive or disjoint events;
Meaning that the probability of one have no effect the other;
Having said that; the Probability of Red ot Blue is as follows
[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]
Calculating [tex]P(Blue)[/tex]
[tex]P(Blue) = Number\ of\ blue\ crayon / total\ crayon[/tex]
[tex]P(Blue) = \frac{2}{9+ 2 + 5}[/tex]
[tex]P(Blue) = \frac{2}{16}[/tex]
Calculating [tex]P(Red)[/tex]
[tex]P(Red) = Number\ of\ red\ crayon / total\ crayon[/tex]
[tex]P(Red) = \frac{9}{9+ 2 + 5}[/tex]
[tex]P(Red) = \frac{9}{16}[/tex]
Substitute these values in the formula given above
[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]
[tex]P(Red\ or\ Blue) = \frac{9}{16} + \frac{2}{16}[/tex]
Take LCM
[tex]P(Red\ or\ Blue) = \frac{9 + 2}{16}[/tex]
[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]
Hence, the probability of a red or blue crayon is
[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]
Amy invests $10,000 in an account that pays 1% compound interest annually. She uses the expression (1+) to find the total value of the account after years. What will be the total value of the account after 10 years?
====================================================
Work Shown:
P = amount deposited = 10000
r = interest rate in decimal form = 0.01
n = compounding frequency = 1 (annual compounding)
t = number of years = 10
--------
A = P*(1+r/n)^(n*t) ... compound interest formula
A = 10000*(1+0.01/1)^(1*10)
A = 11046.221254112
A = 11046.22 rounding to the nearest cent
Can someone help me understand this please
Answer:
Step-by-step explanation
[tex]\frac{-9}{-15}[/tex]÷ [tex]\frac{x^{-1} }{x^{5} }[/tex] ÷[tex]\frac{y^{-9} }{y^{-3} }[/tex]
[tex]\frac{3}{5}[/tex] ÷ [tex]x^{-1} -5[/tex]÷ [tex]y^{-9} -(-3)[/tex]
[tex]\frac{3}{5}[/tex] ÷ [tex]x^{-6}[/tex] ÷ [tex]y^{-9} +3[/tex]
[tex]\frac{3}{5}[/tex] ÷[tex]x^{-6}[/tex] ÷[tex]y^{-6}[/tex]
[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{1}{x^{6} }[/tex]÷[tex]\frac{1}{y^{6} }[/tex]
[tex]\frac{3}{5x^{6}y^{6} }[/tex]
Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = –4 or x = x = 4 or x = x = 4 or x =
Answer:
x = 4 or x = - [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given
(2x - 8)(7x + 5) = 0
Equate each factor to zero and solve for x
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]
? Given: All US area codes are three-digit numbers that use the numerals 0 to 9. Step 1: How many area codes are possible if the first digit can't be 0? Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
1-9, 1929
Step-by-step explanation:
You do the arithmetic and then study the us government postal codes and then you do kid behavior with my names. So, you get 1929 basically, in a nutshell, forever incessantly. thank yopu
What is the domain of the function f(x) 2/5 startroot x = ? all real numbers all real numbers less than 0 all real number less than or equal to 0 all real numbers greater than or equal to 0
Answer:
[tex]\boxed{\sf all \ real \ numbers \ greater \ than \ or \ equal \ to \ 0}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for x.
[tex]\sf f(x)=\frac{2}{5} \sqrt{x}[/tex]
There are restrictions on x.
The square root of a number can be undefined if that number is less than 0.
The value of x is all real numbers greater than or equal to 0.
The domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero. Then the correct option is C.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = (2/5)√x
The value under the square root should not be negative. Then the equation is given below.
x ≥ 0
Then the domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero.
Then the correct option is C.
More about the function link is given below.
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Someone please explain
Area of a triangle is 1/2 x base x height.
The graphed triangle has height of 2 and base of 2.
Area = /2 x 2 x 2 = 2 square units.
The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4
Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.
The answer is C) 8
Solve, graph and give the solution in interval notation 3x+6<12
Answer:
Step-by-step explanation:
3x + 6 < 12
-6 -6
3x < 6
x < 2
x < 2
<------------o
2
In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval for the population proportion
Answer: 0.49 ± 0.0237
Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:
[tex]p_{hat}[/tex] ± z.[tex]\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }[/tex]
[tex]p_{hat}[/tex] is the proportion:
[tex]p_{hat}[/tex] = [tex]\frac{1455}{2957}[/tex]
[tex]p_{hat}[/tex] = 0.49
For a 99% confidence interval, z = 2.576:
0.49 ± 2.576.[tex]\sqrt{\frac{0.49(1-0.49)}{2957} }[/tex]
0.49 ± 2.576.[tex]\sqrt{\frac{0.49*0.51}{2957} }[/tex]
0.49 ± 2.576.(0.0092)
0.49 ± 0.0237
For a 99% confidence interval, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237
What type of relationship does a correlation coefficient of r = 0.45 indicate? A. Weak negative correlation B. Weak positive correlation C. Strong positive correlation D. Strong negative correlation
Answer:
B
Step-by-step explanation:
Here, we want to know the kind of relationship a correlation value of 0.45 represents
Generally the perfect correlation value is 1, while a correlation score of zero shows no relationship between the two quantities.
Firstly, the value we have is positive, so we have a positive correlation, since it is closer to zero than 1, we can interpret the value as being a weak positive correlation
Answer:
B
Step-by-step explanation:
If anyone doesn't mind helping may you plz help me
Answer:
SAS
Step-by-step explanation:
Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.
An oblique cylinder has a radius of 10 units and slant length of 26 units. An oblique cylinder has a radius of 10 units and a slant length of 26 units. What is the volume of the cylinder? 2,400π cubic units 2,500π cubic units 2,600π cubic units 2,700π cubic units
The volume of the oblique cylinder with the given parameters is: 2,400π
What is the Volume of an Oblique Cylinder?Volume of an oblique cylinder = πr²h
r is the radius, h is the height of the cylinder.
Given the following:
r = 10 unitsSlant height (l) = 26 unitsh = √(26² - 10²) = 24 units [Pythagorean Theorem]Volume of oblique cylinder = π(10²)(24)
Volume of oblique cylinder = 2,400π
Learn more about the volume of oblique cylinder on:
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Answer: a
Step-by-step explanation:
Question 8 of 10
A T-shirt vendor is thinking about changing the number of T-shirts he brings to
an event. To make sure he doesn't run out, he plans to bring more of the size
most likely to be sold.
The table shows the number of T-shirts of each size sold at his last event and
the number he had for sale.
Sold
Number for sale
180
Small
126
Medium
220
270
284
315
Large
X-Large
95
135
Which size should he bring more of?
A. Small
B. Medium
C. Large
D. X-Large
Large-size shirts should be brought more of which is more likely to be sold.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Sales Sold
Small 180 126
Medium 220 270
Large 284 315
x-large 95 135
Now,
The percentage of small size sold.
= 126/180 x 100
= 70%
The percentage of medium size sold.
= 220/270 x 100
= 81.5%
The percentage of large size sold.
= 284/315 x 100
= 90%
The percentage of x-large size sold.
= 95/135 x 100
= 70%
Thus,
Large-size shirts are sold more.
Learn more about expressions here:
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Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -1. PLEASE HELP MEEE : (
Explanation:
We have the general slope intercept form y = mx+b. All we do is replace m with the given slope 1/4, and replace b with the y intercept -1.
So we have y = mx+b turn into y = (1/4)x+(-1) which simplifies to y = (1/4)x-1.
the question is in the attachment...
Answer:
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
Step-by-step explanation:
Let the sum total of parts of garden be x
If it is divided into 10 equal parts then
one part will be equal to x/10
Given carrots are planted on 5/10 of the garden
parts on which garden is planted = 5/10 * total part of garden = 5x/10
Given peas are planted on 1/10 of the garden
parts on which peas are is planted = 1/10 * total part of garden = x/10
On rest of the part corn is planted.
Rest of the part will be = total parts of garden - part on which carrots are planted - part on which carrots are planted
Rest of the part will be = x - 5x/10- x/10 = (10x-5x-x)/10 = 4x/10
Model will be
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
The cylinder shown has a lateral surface area of about 400 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi.
Answer:
r = 1.59inch
the radius of the cylinder is
1.59inch
Step by step Explanation
lateral surface of a cylinder can be calculated using the below formula
Surface Area= 2 πr h
We were given area as 400inch^2 and height as 40inch then substitute we have
400 = 2 ×π × r ×40
400= 2×22/7×40
Then do the calculation, where, π
=22/7
400 = r × 251.2
Make r subject of formula we have
r = 400 / 251.2
r = 1.59inch
Therefore, the radius of the cylinder is
1.59inch
CHECK THE ATTACHMENT FOR THE FIGURE
Does this graph represent a function? Why or why not?
Answer:
B
Step-by-step explanation:
it is not a function because it fails the vertical line test,
A vertical line intersect the graph no more than once.
what is the volume of the frustrum
Answer:
258.47
Step-by-step explanation:
v=πr²h/3
=π4.2 ×14/3
=258.615
I need an answer asap. I really would like some help with this
Answer:
(x + 4)² + (y + 1)² = 4
Step-by-step explanation:
From the graph attached,
Extreme ends of the diameter of the circle,
(-4, 1) and (-4, -3)
Center of the circle = Midpoint of the diameter
Center = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4-4}{2},\frac{1-3}{2})[/tex]
= (-4, -1)
Radius of the circle = Distance between the center and extreme end
= 2 units
Since standard equation of the circle is,
(x - h)² + (y - k)² = r²
where (h, k) is the center and 'r' is the radius of the circle
By substituting the values in the standard equation,
(x + 4)² + (y + 1)² = 2²
(x + 4)² + (y + 1)² = 4
I need help with this question! solve “k” -19=b-6
k = b + 13
Step-by-step explanation:k - 19 = b - 6
k = b + 19 - 6
k = b + 13
Answer:
[tex]\boxed{k=b+13}[/tex]
Step-by-step explanation:
[tex]k-19=b-6[/tex]
Add 19 on both sides.
[tex]k-19+19=b-6+19[/tex]
[tex]k=b+13[/tex]
What is the slope of the line in the graph? A.2 B.1/2 C.-2 D.-1/2
Step-by-step explanation:
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If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A triangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Correct question :
If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)
Step-by-step explanation:
Given the following :
A triangle with base x + 2, height x, and side length x + 4 - - - -
b = x + 2 ; a = x ; c = x + 4
Perimeter (P) of a triangle :
P = a + b + c
P =( x + 2) + x + (x + 4) - - - (1)
A rectangle with length of x + 3 and width of one-half x
l = x + 3 ; w = 1/2 x
Perimeter of a rectangle (P) = 2(l+w)
P = 2(x+3) + 2(1/2x)
If perimeter of each same are the same ; then;
(1) = (2)
(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)
Answer:
B
Step-by-step explanation:
What is the domain of F(x) = In (x)?
A: all real numbers except 0
B: all real numbers
C: all real numbers less than 0
D: all real numbers greater than 0
Answer:
the answer is B
Step-by-step explanation:
In terms of symbols, we would write [tex]x > 0[/tex]
The natural log function, or any log function, is not defined for x = 0 or any negative x value.
Consider the form [tex]\log_b(y) = x[/tex] which is equivalent to [tex]y = b^x[/tex] and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.
consider the function y= -2 cos(x- pi). what effect does "-2" have on the basic graph? A) horizontal stretch by the factor 2 then flip over vertical axis b) vertical stretch by factor 2 then flip over horizontal axis c) vertical compression by factor 2 d) horizontal compression by factor 2
Answer:
The correct option is;
b) Vertically stretches by a factor 2 then flip over horizontal axis
Step-by-step explanation:
In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y
Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.
Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
air and water while using less than 49 Joules of energy.
12A + 8W > 343 represents the number of minutes the robot filters air A and water IV to hiter more
than 343 liters of air and water.
3A +41V < 49 represents the number of minutes the robot hiters air and water while using less than 49
Joules of energy
Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15
minutes?
Choose 1 answer.
A. The robot meets both of Nadia's expectations.
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount
of energy
C. The robot uses the expected amount of energy, but it doesn't filter the expected amount of air
and water.
D. The robot doesn't meet either of Nadia's expectations.
Answer:
The correct option is;
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy
Step-by-step explanation:
The given requirements are;
Volume of air and water to be filtered by the robot = 343 liters
The amount of energy consumed by the robot < 49 joules
The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343
The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49
Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;
To filter more than 343 liters, we have
12*20 + 8*15 = 360 > 343
The robot meets the amount of air and water requirement
To filter with less than 49 joules we have
3*20 + 4*15 = 120 > 49
Therefore, the robot does not meet the energy requirement
The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.
Can someone plz answer the question ASAP? Thank you. multiple choice answer yes or no
Answer:yes
Step-by-step explanation:
n unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and
Answer:
Add the equations to eliminate x.
Step-by-step explanation:
(1) y = 10 + x
(2) y = 3 - x
An easy way to solve this problem is to add the two equations to eliminate x.
(3) 2y = 13
From here, you can calculate y and then x.
the length of a rectangular plot of land exceeds the width by 7 m if the area pf the plot is 198 m square what is the length
Answer:
28.142m
Step-by-step explanation:
area of rectangle=width x lenght
so; (rotating the formula with what is given)
area of rectangle/width=lenght
197/7=lenght
28.142m =lenght
Answer:
Length is 18 m and width is 11 m
Step-by-step explanation:
So based on the information given length is seven cm more than your width, and since we don’t know the values of these, we can plot this information into a formula that looks like this: (x+7)(x)=198, which is basically how you take the area of the plot of land.
If you multiply your values, you will get a quadratic equation that looks like this x²+7x-198. If you follow the quadratic formula to solve this equation, the positive result you will get for x is 11, this is your width. And since length exceeds by 7, you just add 7 to 11 to find the length, which ends up being 18.
to verify, you can simply multiply these two values
The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4 % 4\% 4% on Tuesday, 4 % 4\% 4% on Wednesday, 4 % 4\% 4% on Thursday, 8 % 8\% 8% on Monday, and 12 % 12\% 12% on Friday. The Company manufactures an equal amount of ball bearings ( 20 % 20\% 20%) on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday?
Answer:
The probability that a defective ball bearing was manufactured on a Friday is 0.375.
Step-by-step explanation:
The conditional probability of an events X given that another event A has already occurred is:
[tex]P(X|A)=\frac{P(A|X)P(X)}{P(A)}[/tex]
The information provided is as follows:
P (D|M) = 0.08
P (D|Tu) = 0.04
P (D|W) = 0.04
P (D|Th) = 0.04
P (D|F) = 0.12
It is provided that the Company manufactures an equal amount of ball bearings, 20% on each weekday, i.e.
P (M) = P (Tu) = P (W) = P (Th) = P (F) = 0.20
Compute the probability of manufacturing a defective ball bearing on any given day as follows:
[tex]P(D)=P(D|M)P(M)+P(D|Tu)P(Tu)+P(D|W)P(W)\\+P(D|Th)P(Th)+P(D|F)P(F)[/tex]
[tex]=(0.08\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.12\times 0.20)\\\\=0.064[/tex]
Compute the probability that a defective ball bearing was manufactured on a Friday as follows:
[tex]P(F|D)=\frac{(D|F)P(F)}{P(D)}[/tex]
[tex]=\frac{0.12\times 0.20}{0.064}\\\\=0.375[/tex]
Thus, the probability that a defective ball bearing was manufactured on a Friday is 0.375.